Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.07" was replaced by "(107/100)".

Step  1  :

            107
 Simplify   ———
            100

Equation at the end of step  1  :

          107
  1000 • (———)3)
          100

Step  2  :

 2.1     100 = 2²•5² (100)³ = (2²•5²)³ = 2⁶ • 5⁶

Equation at the end of step  2  :

           1073 
  1000 • ———————
         (26•56)

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2⁶   = 2^{(3 - 6)} = 2^(-3) = ¹/_2³

Dividing exponents :

 3.2    5³   divided by   5⁶   = 5^{(3 - 6)} = 5^(-3) = ¹/_5³

Final result :

  1073              
  ———— = 1225.04300 
  1000